Matrix convexity of functions of two variables
β Scribed by Jaspal Singh Aujla
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 573 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
## Abstract Let π be the class of convex univalent functions __f__ in the unit disc π» normalized by __f__ (0) = __f__ β²(0) β 1 = 0. For __z__ ~0~ β π» and |__Ξ»__ | β€ 1 we shall determine explicitly the regions of variability {log __f__ β²(__z__ ~0~): __f__ β π, __f__ β³(0) = 2__Ξ»__ }. (Β© 2006 WILEYβVC
A number of recent papers have been concerned with algorithms to decide the limiting behaviour of functions of a single variable. Here we make a corresponding study of a class of functions of two variables, namely the exp-log functions. As in the one-variable case, we need to make certain assumption
## On the diagonalization of holomorphic matrix functions of several variables By DIETER HETTNEMANN in Berlin (Eingegangen am 10.7. 1979) Let X c C n be a domain of holomorphy, L(Ck) be the space of complex k x kmatrices and GL(Ck) be the group of the invertible complex k x k-matrices. Two holom